Answer:
370
Step-by-step explanation:
50 + x = 420
x = 420 - 50
x = 370
5.5 + 2.1x + 3.8x - 4.1
5.5-4.1 +x(2.1+3.8)
1.4 +x(5.9)
5.9x+1.4
these are equivalent if there is a plus sign between 1.4 5.9x
Using a system of equations, it is found that:
- There are 8 chickens in the yard.
- There are 16 pigs in the yard.
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This question is solved using a system of equations. I am going to say that:
- x is the number of chickens.
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- A chicken has 1 head, as do a pig.
- There are 24 heads.
Thus:
![x + y = 24 \rightarrow y = 24 - x](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2024%20%5Crightarrow%20y%20%3D%2024%20-%20x)
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- A chicken has 2 feet.
- A pig has 4 feet.
- In total, there are 80 feet.
Thus:
![2x + 4y = 80](https://tex.z-dn.net/?f=2x%20%2B%204y%20%3D%2080)
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Number of chicken:
Since ![y = 24 - x](https://tex.z-dn.net/?f=y%20%3D%2024%20-%20x)
![2x + 4y = 80](https://tex.z-dn.net/?f=2x%20%2B%204y%20%3D%2080)
![2x + 4(24 - x) = 80](https://tex.z-dn.net/?f=2x%20%2B%204%2824%20-%20x%29%20%3D%2080)
![2x + 96 - 4x = 80](https://tex.z-dn.net/?f=2x%20%2B%2096%20-%204x%20%3D%2080)
![2x = 16](https://tex.z-dn.net/?f=2x%20%3D%2016)
![x = \frac{16}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B16%7D%7B2%7D)
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
There are 8 chickens in the yard.
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Number of pigs:
![y = 24 - x = 24 - 8 = 16](https://tex.z-dn.net/?f=y%20%3D%2024%20-%20x%20%3D%2024%20-%208%20%3D%2016)
There are 16 pigs in the yard.
A similar problem is given at brainly.com/question/24104709
Answer:
5
Step-by-step explanation:
6 x 3 = 18
90 / 18 = 5
Answer:
2
Step-by-step explanation:
4y = 2x + 8
First get the equation in slope intercept form y= mx+b where m is the slope and b is the y intercept
Divide each side by 4
4y/4 = 2x/4 +8/4
y = 1/2x +2
The slope is 1/2 and the y intercept is 2